How many items are in the event “exactly one tail” when a coin is flipped 3 times?(1
There is only one item in the event "exactly one tail" when a coin is flipped 3 times. This event can occur when only one of the three coin flips results in a tail, and the other two flips result in heads.
You are serving cookies at a party. The party tray holds 8 chocolate chip cookies, 5 sugar cookies, and 7 oatmeal raisin cookies. What is the probability that the first person will take and keep a sugar cookie and the second person will take a chocolate chip cookie? Write your answer as a simplified fraction.(1 point)
To find the probability, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
The number of favorable outcomes is 5 (sugar cookies) multiplied by 8 (chocolate chip cookies), which is 40.
The total number of possible outcomes is the sum of all the cookies on the tray, which is 8 (chocolate chip) + 5 (sugar) + 7 (oatmeal raisin), equal to 20.
Therefore, the probability that the first person will take and keep a sugar cookie and the second person will take a chocolate chip cookie is 40/20, which simplifies to the fraction 2/1.